Question

(9a^3+3a^2-5a+7) by (3a-1)

Answer 1

9a3-3a2-3a+4/3a+2

Final result :

27a3 - 9a2 - 5a + 6
———————————————————
3
Step by step solution :

Step 1 :

4
Simplify —
3
Equation at the end of step 1 :

4
((((9•(a3))-(3•(a2)))-3a)+(—•a))+2
3
Step 2 :

Equation at the end of step 2 :

4a
((((9•(a3))-3a2)-3a)+——)+2
3
Step 3 :

Equation at the end of step 3 :

4a
(((32a3 - 3a2) - 3a) + ——) + 2
3
Step 4 :

Rewriting the whole as an Equivalent Fraction :

4.1 Adding a fraction to a whole

Rewrite the whole as a fraction using 3 as the denominator :

9a3 - 3a2 - 3a (9a3 - 3a2 - 3a) • 3
9a3 - 3a2 - 3a = —————————————— = ————————————————————
1 3
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Step 5 :

Pulling out like terms :

5.1 Pull out like factors :

9a3 - 3a2 - 3a = 3a • (3a2 - a - 1)

Answer 2

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